What is the Least Common Multiple of 82574 and 82584?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 82574 and 82584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82574 and 82584, than apply into the LCM equation.

GCF(82574,82584) = 2
LCM(82574,82584) = ( 82574 × 82584) / 2
LCM(82574,82584) = 6819291216 / 2
LCM(82574,82584) = 3409645608

Least Common Multiple (LCM) of 82574 and 82584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82574 and 82584. First we will calculate the prime factors of 82574 and 82584.

Prime Factorization of 82574

Prime Factorization of 82584

Now multiplying the highest exponent prime factors to calculate the LCM of 82574 and 82584.

LCM(82574,82584) = 2³ × 19¹ × 41¹ × 53¹ × 3² × 31¹ × 37¹
LCM(82574,82584) = 3409645608